We divide 457222 by 13
We want to figure out the number of times 457222 can be divided by 13.

Step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 13

On to step 2:
If we divide 45 by 13, we get 3 and a remainder of 6.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 6 after subtracting 39 from 45.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 13

Going ahead to step 3:
The number 13 fits into 67 5 times, leaving a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Subtract 65 from 67 to get 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 13

Let's proceed to step 4:
The number 13 fits into 22 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 351.0
If we take 13 away from 22, we end up with 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 13

Let's proceed to step 5:
The number 13 fits into 92 7 times, leaving a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 3517.0
Subtracting 91 from 92 leaves us with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 13

Step 6:
13 goes into 12 0 times with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 35170.0
Deduct 0 from 12 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 35170.9
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 8:
30 divided by 13 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 35170.92
If we take 26 away from 30, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 35170.923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
When dividing 10 by 13, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 35170.923
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 35170.92307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 12:
If we divide 90 by 13, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 35170.923076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
120 divided by 13 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 35170.9230769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 14:
30 divided by 13 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 35170.92307692
If we take 26 away from 30, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 35170.92307692 with a balance of 4e-09.